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Finding the Third Proportional to 167,124,379,596 and 367,080,793,791

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Solution

The third proportional to 167,124,379,596 and 367,080,793,791 is: 806,275,598,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124,379,596 : 367,080,793,791 = 367,080,793,791 : x
  2. Step 2: Convert to fraction form
    167,124,379,596/367,080,793,791 = 367,080,793,791/x
  3. Step 3: Cross multiply
    167,124,379,596x = 367,080,793,791 × 367,080,793,791
  4. Step 4: Simplify right side
    167,124,379,596x = 134,748,309,170,230,667,509,760
  5. Step 5: Solve for x
    x = 134,748,309,170,230,667,509,760/167,124,379,596
  6. Step 6: Final answer
    x = 806,275,598,425.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.